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19972019
most citedSelberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces

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math.SP2019

Sharp diameter bound on the spectral gap for quantum graphs

David Borthwick, Livia Corsi, Kenny Jones

We establish an upper bound on the spectral gap for compact quantum graphs which depends only on the diameter and total number of vertices. This bound is asymptotically sharp for p…